论文标题
关于贝克的注释 - 碳纤维 - 霍斯多夫系列，就右颈交换器而言
A note on the Baker--Campbell--Hausdorff series in terms of right-nested commutators
论文作者
论文摘要
我们在右颈交换器方面获得了面包板 - campbell-campbell-hausdorff系列$ z = \ log（\ e^x \，\ e^y）$的紧凑表达式。术语数量的减少源于两个事实：（i）我们用作直接涉及独立换向因子的显式表达式的起点，（ii）我们得出了在右巢换向器之间产生的完整身份集。该程序使我们能够以比在经典大厅基础上表达至少至10年级时获得的序列。
We get compact expressions for the Baker--Campbell--Hausdorff series $Z = \log(\e^X \, \e^Y)$ in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a starting point an explicit expression directly involving independent commutators and (ii) we derive a complete set of identities arising among right-nested commutators. The procedure allows us to obtain the series with fewer terms than when expressed in the classical Hall basis at least up to terms of grade 10.
